Least Common Multiple of 1354 and 1358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1354 and 1358 the smallest integer that is 919366 that is divisible by both numbers.

Least Common Multiple (LCM) of 1354 and 1358 is 919366.

LCM(1354,1358) = 919366

LCM of 1354 and 1358

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1354 and 1358

LCM of 1354 and 1358 is 919366

Least common multiple can be found by multiplying the highest exponent prime factors of 1354 and 1358. First we will calculate the prime factors of 1354 and 1358.

Prime Factorization of 1354


2 1354
677 677
1

Prime factors of 1354 are 2,677. Prime factorization of 1354 in exponential form is:

1354 = 21×6771

Prime Factorization of 1358


2 1358
7 679
97 97
1

Prime factors of 1358 are 2, 7,97. Prime factorization of 1358 in exponential form is:

1358 = 21×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1354 and 1358.

LCM(1354,1358) = 21×71×971×6771
LCM(1354,1358) = 919366

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1, 2, 677, 1354

Factors of 1358

List of positive integer factors of 1358 that divides 1358 without a remainder.

1, 2, 7, 14, 97, 194, 679, 1358

Least Common Multiple of 1354 and 1358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1354 and 1358, than apply into the LCM equation.

GCF(1354,1358) = 2
LCM(1354,1358) = ( 1354 × 1358) / 2
LCM(1354,1358) = 1838732 / 2
LCM(1354,1358) = 919366

Properties of LCM 1354 and 1358

(i) The LCM of 1358 and 1354 is associative

LCM of 1354 and 1358 = LCM of 1358 and 1354

Related Least Common Multiples of 1354

Related Least Common Multiples of 1358

Frequently Asked Questions on LCM of 1354 and 1358

1. What is the LCM of 1354 and 1358?

Answer: LCM of 1354 and 1358 is 919366.

2. What are the Factors of 1354?

Answer: Factors of 1354 are 1, 2, 677, 1354. There are 4 integers that are factors of 1354. The greatest factor of 1354 is 1354.

3. What are the Factors of 1358?

Answer: Factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358. There are 8 integers that are factors of 1358. The greatest factor of 1358 is 1358.

4. How to Find the LCM of 1354 and 1358?

Answer:

Least Common Multiple of 1354 and 1358 = 919366

Step 1: Find the prime factorization of 1354

1354 = 2 x 677

Step 2: Find the prime factorization of 1358

1358 = 2 x 7 x 97

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 919366 = 2 x 7 x 97 x 677

Step 4: Therefore, the least common multiple of 1354 and 1358 is 919366.